# A line segment has endpoints at #(5 ,2 )# and #(3 ,4 )#. If the line segment is rotated about the origin by #(3 pi)/2 #, translated vertically by #4 #, and reflected about the y-axis, what will the line segment's new endpoints be?

##### 1 Answer

Apr 30, 2017

The new end points are

#### Explanation:

We are going to use matrices.

The matrix of rotation of

The matrix of reflection in the

The combination of the 2 operations is

The new end points are

and